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Simplifying -4(3x + 9) + 2(x + -1) + -8 = 36 + 4x Reorder the terms: -4(9 + 3x) + 2(x + -1) + -8 = 36 + 4x (9 * -4 + 3x * -4) + 2(x + -1) + -8 = 36 + 4x (-36 + -12x) + 2(x + -1) + -8 = 36 + 4x Reorder the terms: -36 + -12x + 2(-1 + x) + -8 = 36 + 4x -36 + -12x + (-1 * 2 + x * 2) + -8 = 36 + 4x -36 + -12x + (-2 + 2x) + -8 = 36 + 4x Reorder the terms: -36 + -2 + -8 + -12x + 2x = 36 + 4x Combine like terms: -36 + -2 = -38 -38 + -8 + -12x + 2x = 36 + 4x Combine like terms: -38 + -8 = -46 -46 + -12x + 2x = 36 + 4x Combine like terms: -12x + 2x = -10x -46 + -10x = 36 + 4x Solving -46 + -10x = 36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -46 + -10x + -4x = 36 + 4x + -4x Combine like terms: -10x + -4x = -14x -46 + -14x = 36 + 4x + -4x Combine like terms: 4x + -4x = 0 -46 + -14x = 36 + 0 -46 + -14x = 36 Add '46' to each side of the equation. -46 + 46 + -14x = 36 + 46 Combine like terms: -46 + 46 = 0 0 + -14x = 36 + 46 -14x = 36 + 46 Combine like terms: 36 + 46 = 82 -14x = 82 Divide each side by '-14'. x = -5.857142857 Simplifying x = -5.857142857
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